Andrew Manning said:
...Any of that make sense? It's all just me trying to imagine what's really going on to explain what I've seen empirically; i.e. that running english causes the ball to kick away from a glancing contact with the rail more than reverse english.
Andrew, some ideas.
Theory #1
It doesn't really happen. When you try this you're not paying much attention to squirt so that you get more of a glancing angle with reverse english.
Contra Theory #1: After 2,687,543,232 posts on deflection over the years, nobody knows how much a cue actually squirts. At least there is no consensus. But of course, they do squirt some, for sure.
Theory #2
Just like with ball/ball throw, the coefficient of friction diminishes with large relative surface speeds. According to this view, as with ball/ball throw, a moderate amount of running english would increase the coefficient and thus the shortening of the angle off the rail. Maximum shortening would occur when the ball just reaches a rolling state across the cushion at the end of contact (or something like that). Still more running english would reduce the shortening by bringing the ball to a rolling state quicker.
So, a lot of reverse versus a small amount of running might result in a relative lengthening of the rebound angle.
Contra Theory #2: I've read a paper where the ball/cloth friction coefficient was measured as a function of surface speed. Apparently, it remains fairly constant over a wide range of speeds, but then begins diminishing when the speed drops below some value - the opposite of ball/ball friction.
Theory #3
As you say, maybe some static 'grabbing" of the cushion might be taking place.
Contra Theory #3: If the ball reaches a rolling state across the cushion, without considering anything else (bed friction), the friction with the cushion should be reduced to zero for all practical purposes. However, there is bed friction to contend with. It wants to slow the ball down, while the spin against the cushion tries to maintain its speed. The net effect, according to my figuring, is that once the ball achieves rolling, it will be slowed further by 5/7 of the amount it would have been slowed by bed friction if the cushion wasn't helping to maintain its speed. This is a small effect since bed friction is small compared to cushion friction. Ergo, running english should lenghten the rebound angle, relatively speaking.
Contra Contra Theory #3: Bed friction also provides a torque which alters the forces along the cushion as they provide a counte-torque. That may invalidate, in part, Contra Theory # 3.
Theory #4
It's swerve, or masse' if you like. Because of the cushions nose height, the spin picked up by the ball while in contact causes it to curve away from the cushion, shortening the rebound angle. In the case of a grazing incoming angle, enough original spin is retained to either supplement this (running english), or oppose it (reverse english). We're assuming a non-level stick.
Contra Theory #4: Not sure if enough of the relevant spin component can be retained.
Jim